Abstract
For random walks on two- and three-dimensional cubic lattices, numerical results are obtained for the static,D(∞), and time-dependent diffusion coefficientD(t), as well as for the velocity autocorrelation function (VACF). The results cover all times and include linear and quadratic terms in the density expansions. Within the context of kinetic theory this is the only model in two and three dimensions for which the time-dependent transport properties have been calculated explicitly, including the long-time tails.
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van Velzen, G.A., Ernst, M.H. Bond percolation in two and three dimensions: Numerical evaluation of time-dependent transport properties. J Stat Phys 48, 677–708 (1987). https://doi.org/10.1007/BF01019692
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DOI: https://doi.org/10.1007/BF01019692